T Duality of Perturbative Characters for Closed Bosonic and Type II String Theories

TL;DR

This paper explores the T duality properties of perturbative string characters in bosonic and superstring theories, revealing a new third formulation and deriving supersymmetry consequences for massive states.

Contribution

It introduces a novel approach to T duality via momentum integration and uncovers a third formulation of superstring characters, expanding understanding of string dualities.

Findings

Derived O(8) triality properties for superstring characters

Identified a third formulation of superstring theories

Established supersymmetry effects on massive string states

Abstract

The duality properties of perturbative string characters associated with the transverse space-time rotations are studied. T duality is achieved by suitably integrating over the total momentum, contrary to earlier discussions. The O(8) triality properties of the characters for critical superstrings, are derived. This shows the existence of a third formulation (unnoticed so far to our knowledge) equivalent to, but different from the ones of Neveu-Schwarz-Ramond, and Green-Schwarz. Projectors in the NS and R sectors are defined in the GS formalism. The consequences of supersymmetry are neatly derived at once for all massive states by factorising the character of the long SUSY multiplet.